Might want to go back and double check the wiring on the switch. The terminals should be labeled. You'll need a test light.
With the switch off, the "Bat" terminal should have power.
First click to right should have power to the "Bat", "Ign", and "Acc" terminal(if used).
Turn to spring loaded position, "Bat", "Sta" and "Ign" should have power.
Also check the neutral switch, it should have power to both terminals when in start position and in neutral.
If all is correct you should have power to the "S" terminal of the starter solenoid when the switch is turned to start.